6 Answers
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Getting a ride in an ex-military jet is totally doable; pilots love to fly, and it's even better when someone else is footing the bill. Ex-military aircraft in private ownership are often called "warbirds", and searching for that term will provide many leads. Here's one:

Take a ride in a warbird! Here are links to various organizations which actively operate warbird aircraft, including pay-per-flight operations and museums. We've also listed a few miscellaneous other ways to get some hands-on flight experience with these exciting airplanes.

You can fly a jet fighter such as the Supersonic MiG-29 Fulcrum interceptor, the Aero L-39 Albatros or the Hawker Hunter fighter-bomber aircraft. We offer fighter jet rides from various airfields all over the World.
This is no simulation: Here you can book a real jet fighter ride in a military aircraft

If you're serious, you could even troll the FAA aircraft registration database for exotic planes, and contact the owners directly (or use your findings for more targetted googling). Another fruitful technique would be to simply google for particular aircraft types. For example, the L-39 is a Czechloslovak jet trainer of which there are many in private hands. Googling reveals the existence of the L-39 Enthusiasts group, which could certainly direct you to a pilot happy to give you a ride. One site quotes $3000 for a 45 minute ride.

Finally, aviation is sometimes a bit old-fashioned, and the best way to find what you want is often to simply show up at the airport and ask around. Someone will know someone and soon you will find your way into the cockpit of a warbird.

Ken Thompson wrote an article about flying a MiG29 in Moscow. He booked the flight via a Miami based organization called Fly-With-Us. The article is a fun read, though possibly a bit dated: I discovered it many years ago.